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Finding the Third Proportional to 33,137.44 and 50,188.78

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Solution

The third proportional to 33,137.44 and 50,188.78 is: 76,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137.44 : 50,188.78 = 50,188.78 : x
  2. Step 2: Convert to fraction form
    33,137.44/50,188.78 = 50,188.78/x
  3. Step 3: Cross multiply
    33,137.44x = 50,188.78 × 50,188.78
  4. Step 4: Simplify right side
    33,137.44x = 2,518,913,763.36
  5. Step 5: Solve for x
    x = 2,518,913,763.36/33,137.44
  6. Step 6: Final answer
    x = 76,014.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.